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3 years ago

Two sides of an isosceles triangle are 4 and 8. Which of the following choices could be the measure of the third side?

Mathematics

1 answer:

Feliz [49]3 years ago

4 0

Answer:

8 is answer. isoceles triangles must have two equal sides, where the smaller makes the base and the two larger are the legs.

Step-by-step explanation:

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What integer is equivalent to 9 and 3 halves

sweet [91]

Answer:

6 is the integer which is equivalent to 9 and 3 halves

Step-by-step explanation:

we have to find the integer which is equivalent to 9 and 3 halves

Rule of halves means the restatement of meaning of median. Therefore, we have to find the median of these two integers 9 and 3.

Median of 9 and 3 is $\frac{9+3}{2}=\frac{12}{2}=6$

Hence, 6 is the integer which is equivalent to 9 and 3 halves

7 0

3 years ago

What is the degree of the function f(x)=x⁴-5x+8+x²?

DENIUS [597]

First put it in decreasing power according to x.

x^4-5x+8+x^2

=x^4+x^2-5x+8

Now this question is asking what is the highest degree of x you see in this function.

4 of course.

Therefore the answer to his question is degree of 4.

Done!

7 0

3 years ago

A taxi driver charges a fixed rate of $2 and he charges $19.50 for a 7-mile trip

KiRa [710]

You will pay $2.78 per mile for a total of 7 miles you will pay $19.50, but you must remember the taxi driver charges a $2.00 fixed rate so your final total will be $21.50

7 0

3 years ago

It takes 4/7 of an hour to paint 2/7 of a room. How long does it take to paint one room ?

Sidana [21]

Answer:

2 Hours

Step-by-step explanation:

4/7 of an hour = 34.3 minutes.

34.3 minutes per 2/7

4/7 = 68.6 OR 1 hour 8 minutes.

6/7 = 102.9 OR 1 hour 42 minutes.

Then add half of 34.3 (17.15)

7/7 = 120.05. = 2 hours 0.5 seconds.

3 0

3 years ago

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation:

Vikentia [17]

Answer:

$\= x = 18.5$ , $\sigma = 5.15$

$15.505 < \mu < 21.495$

$14.93 < \mu < 22.069$

Step-by-step explanation:

From the question we are are told that

The sample data is 21, 14, 13, 24, 17, 22, 25, 12

The sample size is n = 8

Generally the ample mean is evaluated as

$\= x = \frac{\sum x }{n}$

$\= x = \frac{ 21 + 14 + 13 + 24 + 17 + 22+ 25 + 12 }{8}$

$\= x = 18.5$

Generally the standard deviation is mathematically evaluated as

$\sigma = \sqrt{\frac{\sum (x- \=x )^2}{n}}$

$\sigma = \sqrt{\frac{\sum ((21 - 18.5)^2 + (14-18.5)^2+ (13-18.5)^2+ (24-18.5)^2+ (17-18.5)^2+ (22-18.5)^2+ (25-18.5)^2+ (12 -18.5)^2 )}{8}}$

$\sigma = 5.15$

considering part b

Given that the confidence level is 90% then the significance level is evaluated as

$\alpha = 100-90$

$\alpha = 10\%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.645$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.645 * \frac{5.15 }{\sqrt{8} }$

=> $E = 2.995$

The 90% confidence interval is evaluated as

$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 2.995 < \mu < 18.5 + 2.995$

$15.505 < \mu < 21.495$

considering part c

Given that the confidence level is 95% then the significance level is evaluated as

$\alpha = 100-95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.96 * \frac{5.15 }{\sqrt{8} }$

=> $E = 3.569$

The 95% confidence interval is evaluated as

$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 3.569 < \mu < 18.5 + 3.569$

$14.93 < \mu < 22.069$

8 0

3 years ago